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Coefficient Estimates for a Subclass of Bi-Univalent Functions Defined by q -Derivative Operator

Author

Listed:
  • Suhila Elhaddad

    (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia)

  • Maslina Darus

    (Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia)

Abstract

Recently, a number of features and properties of interest for a range of bi-univalent and univalent analytic functions have been explored through systematic study, e.g., coefficient inequalities and coefficient bounds. This study examines S q δ ( ϑ , η , ρ , ν ; ψ ) as a novel general subclass of Σ which comprises normalized analytic functions, as well as bi-univalent functions within Δ as an open unit disk. The study locates estimates for the | a 2 | and | a 3 | Taylor–Maclaurin coefficients in functions of the class which is considered. Additionally, links with a number of previously established findings are presented.

Suggested Citation

  • Suhila Elhaddad & Maslina Darus, 2020. "Coefficient Estimates for a Subclass of Bi-Univalent Functions Defined by q -Derivative Operator," Mathematics, MDPI, vol. 8(3), pages 1-14, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:306-:d:324860
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    References listed on IDEAS

    as
    1. M. L. Mogra, 1999. "Applications of Ruscheweyh derivatives and Hadamard product to analytic functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 22, pages 1-11, January.
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    Cited by:

    1. Sheza M. El-Deeb & Teodor Bulboacă & Bassant M. El-Matary, 2020. "Maclaurin Coefficient Estimates of Bi-Univalent Functions Connected with the q-Derivative," Mathematics, MDPI, vol. 8(3), pages 1-14, March.

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